Two capacitors connected in parallel produce an equivalent capacitance of 31.0 ?

Question

Two capacitors connected in parallel produce an equivalent capacitance of 31.0?F but when connected in series the equivalent capacitance is only 4.6?F . Part A What is the individual capacitance of each capacitor? Enter your answers in ascending order. Express your answers using two significant figures separated by a comma. C1, C2 =   ?F   SubmitMy AnswersGive Up
Two capacitors connected in parallel produce an equivalent capacitance of 31.0?F but when connected in series the equivalent capacitance is only 4.6?F . Part A What is the individual capacitance of each capacitor? Enter your answers in ascending order. Express your answers using two significant figures separated by a comma. C1, C2 =   ?F   SubmitMy AnswersGive Up
Two capacitors connected in parallel produce an equivalent capacitance of 31.0?F but when connected in series the equivalent capacitance is only 4.6?F . Part A What is the individual capacitance of each capacitor? Enter your answers in ascending order. Express your answers using two significant figures separated by a comma. C1, C2 =   ?F   SubmitMy AnswersGive Up Part A What is the individual capacitance of each capacitor? Enter your answers in ascending order. Express your answers using two significant figures separated by a comma. C1, C2 =   ?F   SubmitMy AnswersGive Up C1, C2 =   ?F   C1, C2 =   ?F   SubmitMy AnswersGive Up C1, C2 =   ?F  

Explanation / Answer

c1+c2=31

c1*c2/(c1+c2)=4.6

c1*c2=4.6*31=142.6

c1=142.6/c2

c1+c2=31

142.6/c2 +c2=31

142.6+c2^2-31c2=0

c2=25.8 0r c2=5.62

c1=31-c2=5.2 0r

c1=31-5.62=25.38

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